2109000960 has 648 divisors, whose sum is σ = 8587804680. Its totient is φ = 475791360.

The previous prime is 2109000947. The next prime is 2109000983. The reversal of 2109000960 is 690009012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 188457984 + 1920542976 = 13728^2 + 43824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23696596 + ... + 23696684.

It is an arithmetic number, because the mean of its divisors is an integer number (13252785).

Almost surely, 2^2109000960 is an apocalyptic number.

2109000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293902340).

2109000960 is an abundant number, since it is smaller than the sum of its proper divisors (6478803720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2109000960 is a wasteful number, since it uses less digits than its factorization.

2109000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2109000960 is about 45923.8604649043. The cubic root of 2109000960 is about 1282.4061511528.

Adding to 2109000960 its reverse (690009012), we get a palindrome (2799009972).

The spelling of 2109000960 in words is "two billion, one hundred nine million, nine hundred sixty", and thus it is an aban number.